Calculate the Netherlands' Share: Tables in a Room with 124 Total

Q: How do I know which percentage to calculate?

Read carefully! The problem says 75% are from China, so Netherlands must be the remaining percentage. Calculate 100% - 75% = 25% for Netherlands tables.

Q: Can I just subtract 75% of 124 from 124?

Yes! That's another correct method: $ 124 - (124 \times 0.75) = 124 - 93 = 31 $. Both approaches give the same answer.

Q: What if I get a decimal answer?

In this problem, you should get a whole number since we're counting tables. If you get a decimal, double-check your calculation - you might have made an error.

Percentage Calculations with Complementary Parts

In a certain room, there are 124 different tables. 75% of the tables in the room are from China and the rest from the Netherlands. Find the number of tables from the Netherlands.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Determine the number of tables from Holland

00:05 The percentage of tables from China according to the data

00:15 Subtract this percentage from the whole in order to determine the percentage of tables from Holland

00:20 This is the percentage of dutch tables

00:25 Convert the percentage to a fraction

00:30 Use the formula to convert percentages to fractions

00:35 Apply this formula to our exercise

00:45 Multiply this fraction by the whole in order to determine the number of tables from Holland

01:00 Factor 100 into 4 and 25

01:10 Reduce wherever possible

01:20 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

In a certain room, there are 124 different tables. 75% of the tables in the room are from China and the rest from the Netherlands. Find the number of tables from the Netherlands.

Step-by-step solution

To solve this problem, follow these steps:

Step 1: Identify the total number of tables in the room. There are 124 tables.
Step 2: Determine the percentage of tables from the Netherlands. By calculation, it's $100\% - 75\% = 25\%$ .
Step 3: Find the numerical quantity of tables from the Netherlands. This involves taking 25% of the total tables:

$\text{Tables from Netherlands} = 124 \times \frac{25}{100}$

Calculating this, we have:

$\text{Tables from Netherlands} = 124 \times 0.25 = 31$

Thus, the number of tables from the Netherlands is $31$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Complementary percentages must always add up to 100%
Technique: Calculate 25% of 124 as $124 \times 0.25 = 31$
Check: Verify 75 + 31 = 106, wait that's wrong! 93 + 31 = 124 ✓

Common Mistakes

Avoid these frequent errors

Calculating 75% instead of 25% for Netherlands tables
Don't find 75% of 124 = 93 tables for Netherlands! This gives the China amount, not Netherlands. The problem states 75% are from China, so Netherlands = 100% - 75% = 25%. Always identify which percentage matches which country.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

How do I know which percentage to calculate?

Read carefully! The problem says 75% are from China, so Netherlands must be the remaining percentage. Calculate 100% - 75% = 25% for Netherlands tables.

Can I just subtract 75% of 124 from 124?

Yes! That's another correct method: $124 - (124 \times 0.75) = 124 - 93 = 31$ . Both approaches give the same answer.

Why do I convert 25% to 0.25?

Percentages need to be converted to decimals for multiplication. 25% = 25/100 = 0.25. This makes the calculation $124 \times 0.25$ much easier!

What if I get a decimal answer?

In this problem, you should get a whole number since we're counting tables. If you get a decimal, double-check your calculation - you might have made an error.

How can I check my answer is correct?

Add both parts: China tables + Netherlands tables should equal 124. So 93 + 31 = 124 ✓. Also verify the percentages: $\frac{31}{124} = 0.25 = 25\%$ ✓

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